This note answers, and generalizes, a question of Kaisa Matomaki. We show that given two cuspidal automorphic representations $\pi_1$ $\pi_2$ $GL(n)$ over number field $F$ respective conductors $N_1$, $N_2$, every character $\chi$ such $\pi_1\otimes\chi\simeq\pi_2$ conductor $Q$, satisfies the bound: $Q^n\mid N_1N_2$. If at finite place $v$, $\pi_{1,v}$ is discrete series whenever it ramified, ...

Polymers confined to a narrow channel are subject strong entropic forces that tend drive the molecules apart. In this study, we use Monte Carlo computer simulations study segregation behavior of two flexible hard-sphere polymers under confinement in cylindrical channel. We focus on effects using different lengths. measure variation conformational free energy, $F$, with center-of-mass separation...

The effect of the thickness dielectric boundary layer that connects a material refractive index $n_1$ to another $n_2$ is considered for propagation an electromagnetic pulse. For very thin scattering properties pulse mimics found from Fresnel jump conditions plane wave - except transmission incident amplitudes are augmented by factor $\sqrt{n_2/n_1}$. As becomes thicker one finds deviations awa...

Abstract We consider the seesaw model with two right-handed neutrinos, $N_1$ and $N_2$, masses of which are hierarchical, investigate their contribution to neutrinoless double beta ($0 \nu \beta \beta$) decay. Although lepton number is broken by Majorana such decay processes can be absent in some cases. present a possibility where lighter gives destructive active neutrinos choosing specific mix...

Let $n\ge2$ and $d_1,\ldots,d_n\ge2$ be integers, $\mathcal{F}$ a field. A vector $u\in\mathcal{F}^{d_1}\otimes\cdots\otimes\mathcal{F}^{d_n}$ is called product if $u=u^{[1]}\otimes\cdots\otimes u^{[n]}$ for some $u^{[1]}\in\mathcal{F}^{d_1},\ldots,u^{[n]}\in\mathcal{F}^{d_n}$. basis composed of vectors basis. In this paper, we show that the maximum dimension subspaces $\mathcal{F}^{d_1}\otimes...